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1010020323220 = 2251910167339103
BaseRepresentation
bin11101011001010011110…
…01110000111110010100
310120120001001102120211021
432230221321300332110
5113022010200320340
62051555200450524
7132654150044236
oct16545171607624
93516031376737
101010020323220
1135a390161057
121438b9919a44
137432425058c
1436c5717a256
151b4162dae4a
hexeb29e70f94

1010020323220 has 96 divisors (see below), whose sum is σ = 2258190305280. Its totient is φ = 378382233600.

The previous prime is 1010020323149. The next prime is 1010020323229. The reversal of 1010020323220 is 223230200101.

It is a junction number, because it is equal to n+sod(n) for n = 1010020323194 and 1010020323203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010020323229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25810189 + ... + 25849291.

It is an arithmetic number, because the mean of its divisors is an integer number (23522815680).

Almost surely, 21010020323220 is an apocalyptic number.

1010020323220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010020323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129095152640).

1010020323220 is an abundant number, since it is smaller than the sum of its proper divisors (1248169982060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010020323220 is a wasteful number, since it uses less digits than its factorization.

1010020323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39905 (or 39903 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1010020323220 its reverse (223230200101), we get a palindrome (1233250523321).

The spelling of 1010020323220 in words is "one trillion, ten billion, twenty million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 380 404 505 673 1010 1346 1919 2020 2692 3365 3838 6730 7676 9595 12787 13460 19190 25574 38380 39103 51148 63935 67973 78206 127870 135946 156412 195515 255740 271892 339865 391030 679730 742957 782060 1291487 1359460 1485914 2582974 2971828 3714785 3949403 5165948 6457435 7429570 7898806 12914870 14859140 15797612 19747015 25829740 26316319 39494030 52632638 75038657 78988060 105265276 131581595 150077314 263163190 300154628 375193285 500010061 526326380 750386570 1000020122 1500773140 2000040244 2500050305 2657948219 5000100610 5315896438 10000201220 10631792876 13289741095 26579482190 50501016161 53158964380 101002032322 202004064644 252505080805 505010161610 1010020323220